The two heights, dropped from one vertex of the parallelogram, are 4 and 8.

The two heights, dropped from one vertex of the parallelogram, are 4 and 8. Length of the smaller side 5. Find the length of the larger side.

As you know, in a parallelogram, a lower height is drawn to the larger side and a higher height to the smaller side. Find the area of the parallelogram:
S = a * h = 5 * 8 = 40.
Knowing the area and the lower height, we find the larger side:
S = b * h;
b = S / h = 40/4 = 10.
Answer: The large side is 10.